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21151415112 = 2332353722977
BaseRepresentation
bin10011101100101110…
…001111101101001000
32000121002010012211220
4103230232033231020
5321304230240422
613414500122040
71346103030162
oct235456175510
960532105756
1021151415112
118a74471263
124123696320
131cc10bab59
1410491a9932
1583bdaae5c
hex4ecb8fb48

21151415112 has 64 divisors (see below), whose sum is σ = 56218769280. Its totient is φ = 6616676352.

The previous prime is 21151415083. The next prime is 21151415137.

21151415112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211514151122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332233 + ... + 390744.

It is an arithmetic number, because the mean of its divisors is an integer number (878418270).

Almost surely, 221151415112 is an apocalyptic number.

It is an amenable number.

21151415112 is an abundant number, since it is smaller than the sum of its proper divisors (35067354168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21151415112 is a wasteful number, since it uses less digits than its factorization.

21151415112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723062 (or 723058 counting only the distinct ones).

The product of its digits is 400, while the sum is 24.

The spelling of 21151415112 in words is "twenty-one billion, one hundred fifty-one million, four hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2438 3657 4876 7314 9752 14628 29256 722977 1445954 2168931 2891908 4337862 5783816 8675724 16628471 17351448 33256942 38317781 49885413 66513884 76635562 99770826 114953343 133027768 153271124 199541652 229906686 306542248 399083304 459813372 881308963 919626744 1762617926 2643926889 3525235852 5287853778 7050471704 10575707556 21151415112